3y+8=y-2

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Solution for 3y+8=y-2 equation:


Simplifying
3y + 8 = y + -2

Reorder the terms:
8 + 3y = y + -2

Reorder the terms:
8 + 3y = -2 + y

Solving
8 + 3y = -2 + y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-1y' to each side of the equation.
8 + 3y + -1y = -2 + y + -1y

Combine like terms: 3y + -1y = 2y
8 + 2y = -2 + y + -1y

Combine like terms: y + -1y = 0
8 + 2y = -2 + 0
8 + 2y = -2

Add '-8' to each side of the equation.
8 + -8 + 2y = -2 + -8

Combine like terms: 8 + -8 = 0
0 + 2y = -2 + -8
2y = -2 + -8

Combine like terms: -2 + -8 = -10
2y = -10

Divide each side by '2'.
y = -5

Simplifying
y = -5

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